Category:Definitions/Ellipses

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This category contains definitions related to Ellipses.
Related results can be found in Category:Ellipses.


EllipseFocusDirectrix.png


Let $D$ be a straight line.

Let $F$ be a point.

Let $\epsilon \in \R: 0 < \epsilon < 1$.


Let $K$ be the locus of points $b$ such that the distance $p$ from $P$ to $D$ and the distance $q$ from $P$ to $F$ are related by the condition:

$\epsilon \, p = q$


Then $K$ is an ellipse.